Precalculus, Chapter 1, 1.3, Section 1.3, Problem 52

Determine an equation for the line with a slope $-2$ and $y$-intercept $-2$. Express your answer using the general form or the slope intercept form of the equation of a line, which ever you prefer.

Using the slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.


$
\begin{equation}
\begin{aligned}

y =& -2x + (-2)
&& \text{Substitute } m = -2 \text{ and } b = -2
\\
y =& -2x-2
&& \text{Slope Intercept Form}
\\
\text{or} &
&&
\\
2x + y =& -2
&& \text{General Form}


\end{aligned}
\end{equation}
$